Search a number
-
+
340027920 = 24325472261
BaseRepresentation
bin10100010001000…
…110101000010000
3212200211012121200
4110101012220100
51144021343140
653423551200
711266122021
oct2421065020
9780735550
10340027920
11164a34011
1295a5b500
13555a426b
1433232c48
151ecb9030
hex14446a10

340027920 has 60 divisors (see below), whose sum is σ = 1141929516. Its totient is φ = 90673920.

The previous prime is 340027907. The next prime is 340027921. The reversal of 340027920 is 29720043.

It can be written as a sum of positive squares in 2 ways, for example, as 43086096 + 296941824 = 6564^2 + 17232^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (340027921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235411 + ... + 236850.

Almost surely, 2340027920 is an apocalyptic number.

340027920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340027920 is an abundant number, since it is smaller than the sum of its proper divisors (801901596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340027920 is a wasteful number, since it uses less digits than its factorization.

340027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472280 (or 472271 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 340027920 is about 18439.8459863416. The cubic root of 340027920 is about 697.9723089263.

Adding to 340027920 its reverse (29720043), we get a palindrome (369747963).

The spelling of 340027920 in words is "three hundred forty million, twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 472261 944522 1416783 1889044 2361305 2833566 3778088 4250349 4722610 5667132 7083915 7556176 8500698 9445220 11334264 14167830 17001396 18890440 21251745 22668528 28335660 34002792 37780880 42503490 56671320 68005584 85006980 113342640 170013960 340027920